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JEE MAIN 2025
07.04.25 S2
Question
Liquid and form an ideal solution. The vapour pressures of pure liquids and are 350 and 750 mm Hg respectively at the same temperature. If and are the mole fraction of and in solution while and are the mole fraction of and in vapour phase then,
Select the correct option:
A
$\frac{x_{\mathrm{A}}}{x_{\mathrm{B}}}<\frac{y_{\mathrm{A}}}{y_{\mathrm{B}}}$
B
$\left(x_{\mathrm{A}}-y_{\mathrm{A}}\right)<\left(x_{\mathrm{B}}-y_{\mathrm{B}}\right)$
C
$\frac{x_{\mathrm{A}}}{x_{\mathrm{B}}}>\frac{y_{\mathrm{A}}}{y_{\mathrm{B}}}$
D
$\frac{x_{\mathrm{A}}}{x_{\mathrm{B}}}=\frac{y_{\mathrm{A}}}{y_{\mathrm{B}}}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Sol. $$ \begin{aligned} & \mathrm{P}_{\mathrm{A}}^o<\mathrm{P}_{\mathrm{B}}^o \\ & \frac{\mathrm{P}_{\mathrm{A}}^o}{\mathrm{P}_{\mathrm{B}}^o}<1 \\ & \frac{\mathrm{y}_{\mathrm{A}}}{\mathrm{y}_{\mathrm{B}}}=\frac{\mathrm{P}_{\mathrm{A}}^o}{\mathrm{P}_{\mathrm{B}}^o} \frac{\mathrm{x}_{\mathrm{A}}}{\mathrm{x}_{\mathrm{B}}} \\ & \frac{\mathrm{y}_{\mathrm{A}}}{\mathrm{y}_{\mathrm{B}}}<1 \\ & \frac{\mathrm{x}_{\mathrm{A}}}{\mathrm{x}_{\mathrm{B}}} \\ & \frac{\mathrm{y}_{\mathrm{A}}}{\mathrm{y}_{\mathrm{B}}}<\frac{\mathrm{x}_{\mathrm{A}}}{\mathrm{x}_{\mathrm{B}}} \end{aligned} $$
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